The fires which caused by coal spontaneous combustion is one of prominent disasters in coal mine underground production process, once a fire disasters happen ,it will seriously affect the normal production, it not only threatens the life safety of coal mine personnel, but also bring a nation huge economic losses. Because of concealed ignition is major factor to cause fire, so if we want to better to solve and fires problem which caused by coal spontaneous combustion, the most important thing is determine position of concealed fire which cause the coal spontaneous combustion. Only an accurate determination of the fire position, have something to aim to put out the fire. This article combine coal self-ignition characteristics underground coal mine, establish the mathematical model, inductive the problem of determine the coal mine underground concealed fire position to the inverse problem of the heat conduction equations source, using discrete regularization method to solve the heat conduction equations, overcoming the discomfort of inverse problem, and the application of matlab to inverse numerical simulation, and verified using of discrete regularization inversion method, provide the basis for take measures to prevention and extinguishing, it also has a certain research and application value in theory.